Campbell Live executive producer Pip Keane called Mr Bridges' response "ridiculous".
"He is a Cabinet minister who is accountable to the people of New Zealand," she said.
"We have been working on this Anadarko oil story for more than a week and we have called his press secretary, Lucy, repeatedly; we have also emailed and called Mr Bridges directly on his mobile and he has chosen not to respond.
"Repeatedly we have offered him a live interview."
Mr Bridges had also refused to discuss the issue of a living wage for parliamentary cleaners on the show and had still not made a decision about Dunedin man Alan Dunlop who has been without power for three months, she said. Mr Dunlop's power company applied to Mr Bridges for an exemption not to reconnect his power after a storm because it was not financially viable.
"If Mr Bridges continues to make himself unavailable, perhaps he needs to reconsider his role as a Cabinet Minister."
Mr Bridges said: "I think Campbell Live is proving it's more of a melodrama series than a current affairs show. I'm not going to get into some kids' stuff argument with them. If it's a serious, considered interview that's live and unedited, I'm likely to."